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Finding the Fourth Proportional to 11,792.80, 16,271.12 and 7,596

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Solution

The fourth proportional to 11,792.80, 16,271.12 and 7,596 is: 10,480.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,792.80 : 16,271.12 = 7,596 : x
  2. Step 2: Convert to fraction form
    11,792.80/16,271.12 = 7,596/x
  3. Step 3: Cross multiply
    11,792.80x = 16,271.12 × 7,596
  4. Step 4: Simplify right side
    11,792.80x = 123,595,427.52
  5. Step 5: Solve for x
    x = 123,595,427.52/11,792.80
  6. Step 6: Final answer
    x = 10,480.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.